Details

Time bar (total: 1.5s)

sample18.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
3.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1253
2533
3803
4983
51073
61133
71133
done1133

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ a b) (+ a b))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 40
Calls
1 calls:
32.0ms
(* (+ a b) (+ a b))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (+ a b) (+ a b))

simplify32.0ms

Counts
43 → 43
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0189213
1902188
25001170
done5001170

prune45.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* b (+ a b))
0.0b
(+ (* a (+ a b)) (* b (+ a b)))
0.0b
(* a (+ a b))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
7×pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
6×associate-*l*
5×add-log-exp
4×distribute-rgt-in distribute-lft-in frac-add
2×associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative distribute-rgt-out sum-log
Counts
3 → 66
Calls
3 calls:
19.0ms
(* b (+ a b))
14.0ms
(+ (* a (+ a b)) (* b (+ a b)))
19.0ms
(* a (+ a b))

series81.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* b (+ a b))
25.0ms
(+ (* a (+ a b)) (* b (+ a b)))
29.0ms
(* a (+ a b))

simplify58.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0349386
11962333
25002331
done5002331

prune123.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(pow (+ a b) 3)
0.3b
(* (pow (+ a b) 3) (- a b))
0.5b
(/ (* (pow (+ a b) 3) (- a b)) (- (* a a) (* b b)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
22×add-sqr-sqrt
20×add-exp-log
14×cube-div associate-*l*
13×add-cube-cbrt
12×add-cbrt-cube
9×unpow-prod-down cube-prod
8×frac-times flip3-- flip-- associate-/l/
7×flip3-+ flip-+
6×prod-exp add-log-exp
5×pow1 associate-*r*
4×times-frac associate-*r/ div-exp associate-*l/ associate-/r* distribute-lft-out difference-of-squares unswap-sqr
3×pow-to-exp sub-neg pow-unpow pow-exp sqr-pow
2×cbrt-undiv distribute-rgt-in cube-mult distribute-lft-in unpow3 associate-/r/ cbrt-unprod
1×pow-pow frac-2neg diff-log clear-num *-commutative div-inv associate-/l* distribute-lft-out-- rem-cube-cbrt
Counts
4 → 122
Calls
4 calls:
8.0ms
(- (* a a) (* b b))
9.0ms
(pow (+ a b) 3)
53.0ms
(* (pow (+ a b) 3) (- a b))
36.0ms
(/ (* (pow (+ a b) 3) (- a b)) (- (* a a) (* b b)))

series170.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (* a a) (* b b))
31.0ms
(pow (+ a b) 3)
53.0ms
(* (pow (+ a b) 3) (- a b))
53.0ms
(/ (* (pow (+ a b) 3) (- a b)) (- (* a a) (* b b)))

simplify130.0ms

Counts
134 → 134
Iterations

Useful iterations: 2 (121.0ms)

IterNodesCost
0548899
13465820
25001768
done5001768

prune246.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105
done105

end0.0ms

sample366.0ms

Algorithm
intervals
Results
106.0ms8000×pre80true
94.0ms8000×body80valid